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Finding the Third Proportional to 278,640 and 406,296

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Solution

The third proportional to 278,640 and 406,296 is: 592,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,640 : 406,296 = 406,296 : x
  2. Step 2: Convert to fraction form
    278,640/406,296 = 406,296/x
  3. Step 3: Cross multiply
    278,640x = 406,296 × 406,296
  4. Step 4: Simplify right side
    278,640x = 165,076,439,616
  5. Step 5: Solve for x
    x = 165,076,439,616/278,640
  6. Step 6: Final answer
    x = 592,436.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.